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In this research, we develop a set of six equations to study the transmission of the rabies virus among dogs. We provide a vaccine controller to regulate the disease’s spread. We examine the stability of the system as well as the equilibrium points for the endemic and disease-free states to comprehend the dynamics of the illness. We evaluate global stability with the Lyapunov function. To confirm the theoretical conclusions, we also give numerical simulations in MATLAB.

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Modeling and Control of Rabies Transmission Among Dogs: Stability Analysis and Numerical Simulations

  • 章节

  • 发表日期：

    2026年

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  • Naresh Kumar Jothi,
  • Anusha Muruganandham,
  • Jayant Giri,
  • Mohammad A. Hassan,
  • Rajkumar Chadge

摘要

In this research, we develop a set of six equations to study the transmission of the rabies virus among dogs. We provide a vaccine controller to regulate the disease’s spread. We examine the stability of the system as well as the equilibrium points for the endemic and disease-free states to comprehend the dynamics of the illness. We evaluate global stability with the Lyapunov function. To confirm the theoretical conclusions, we also give numerical simulations in MATLAB.